Problem 3.4. Write matrices (in the standard basis) of linear maps : R³ R³ which satisfy the following conditions: a) ((

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Problem 3 4 Write Matrices In The Standard Basis Of Linear Maps R R Which Satisfy The Following Conditions A 1 (47.12 KiB) Viewed 49 times

please solve those questions 3.4 to 3.5 step by step. if you are handwriting then please write the letters clearly. Thank you so much.
Problem 3.4. Write matrices (in the standard basis) of linear maps : R³ R³ which satisfy the following conditions: a) ((1,0,0)) = (1, 1, 1), b) ((1, 1, 1)) = (1,0,0), ((0, 1, 0)) = (2, 1,0), ((2, 1,0)) = (0, 1,0), ((0, 0, 1)) = (-2, 1,0). ((-2, 1, 0)) = (0, 0, 1). Problem 3.5. Bonus: The nx n matrix A is called skew-symmetric if aj = -aj,i for all indices i, j. Assume that n is odd, and A is skew-symmetric. Prove that det(A) = 0.